In this paper, we pressent a global well-posedness of strong solutions and their emergent behaviors for the coupled kinetic-fluid system consisting of kinetic thermomechanical Cucker-Smale equation and compressible isentropic Navier-Stokes system. Particle and fluid systems are coupled via the drag force which is responsible for the asymptotic velocity alignment between kinetic equation and fluid system. For the well-posedness and velocity alignment, we employ an energy method and Lyapunov function method under suitable conditions on initial data and system parameters.

中文翻译：

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动力学热力学杜克方程与可压缩粘性流体系统的耦合

在本文中，我们对由动力学热力学的Cucker-Smale方程和可压缩的等熵Navier-Stokes系统组成的动力学流体耦合系统，强力解决方案的整体适定性及其出现的行为。粒子和流体系统通过阻力耦合，该阻力负责动力学方程和流体系统之间的渐近速度对准。对于良好的定位性和速度对准，我们在合适的条件下对初始数据和系统参数采用能量方法和Lyapunov函数方法。